What is \sqrt[3]{\sqrt[6]{512b^9}} ?

The solution to \sqrt[3]{\sqrt[6]{512b^9}} is sqrt(2)sqrt(b)

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simplify \sqrt[3]{\sqrt[6]{512b^9}}

simplify

2 b

Solution steps

Simplify

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply radical rule:

assuming

a \geq 0, b \geq 0

Simplify

Apply radical rule:

Simplify

b^{\frac{1}{6}} b^{\frac{1}{3}} : b^{\frac{1}{2}}

Apply radical rule:

= 2^{\frac{1}{3}} \cdot 2^{\frac{1}{6}} b^{\frac{1}{2}}

2^{\frac{1}{3}} \cdot 2^{\frac{1}{6}} = 2^{\frac{1}{2}}

= 2^{\frac{1}{2}} b^{\frac{1}{2}}

Apply exponent rule:

a^{\frac{1}{2}} = a

2^{\frac{1}{2}} = 2

= 2 b

Apply exponent rule:

a^{\frac{1}{2}} = a

b^{\frac{1}{2}} = b

= 2 b

e^{- 4 l n (5)}

x^{x}

(2 x + 3)^{2}

6.3 \cdot 1 0^{- 5}

What is \sqrt[3]{\sqrt[6]{512b^9}} ?
The solution to \sqrt[3]{\sqrt[6]{512b^9}} is sqrt(2)sqrt(b)